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# the marks obtained by 110 students in an examination are given below marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65 number of students 14 16 28 23 18 8 3 find the mean marks of the students.

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## The marks obtained by 110 students in an examination are given below : Marks: 30

The marks obtained by 110 students in an examination are given below : Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65 Number of Students: 14 16 28 23 18 8 3 Find the mean marks of the students.

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The marks obtained by 110 students in an examination are given below : Marks: 30-35

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The marks obtained by 110 students in an examination are given below :

Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65

Number of Students: 14 16 28 23 18 8 3

Find the mean marks of the students.

xi 32.5 37.5 42.5 47.5 52.5 57.5 62.5

fi 14 16 28 23 18 8 3

ui -3 -2 -1 0 1 2 3

fiui -48 -32 -28 0 18 16 9

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## The marks obtained by 110 students in an examination are given below:[ Marks: 30 35 35 40 40 45 45 50 50 55 55 60 60 65 ]Frequency: 14 [ 16 28 23 18 8 3 ]Find the mean marks of the students.

The marks obtained by 110 students in an examination are given below:[ Marks: 30 35 35 40 40 45 45 50 50 55 55 60 60 65 ]Frequency: 14 [ 16 28 23 18 8 3 ]Find the mean marks of the students.

Direct Method of Finding Mean

The marks obt... Question

The marks obtained by 110 students in an examination are given below:

Marks: 30 – 35 35 – 40 40 – 45 45 – 50 50 – 55 55 – 60 60 – 65

Frequency: 14 16 28 23 18 8 3

Find the mean marks of the students.

Open in App Solution

Let the assumed mean, A be 47.5.

Here, h = 5

Marks Mid-Values(xi) Frequency (fi)

di=xi-47.5 ui=xi-47.55 fiui

30–35 32.5 14 −15 −3 −42

35–40 37.5 16 −10 −2 −32

40–45 42.5 28 −5 −1 −28

45–50 47.5 23 0 0 0

50–55 52.5 18 5 1 18

55–60 57.5 8 10 2 16

60–65 62.5 3 15 3 9 ∑fi=110 ∑fiui=-59 We know Mean =A+h×∑fiui∑fi

∴ Mean marks of the students

=47.5+5×-59110 =47.5-2.68 =44.82

Hence, the mean marks of the students is 44.82.

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Frequency: 3 5 16 12 13 20 5 4 1 1

Q. The marks in science of

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C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100

Freq. 3 5 16 12 13 20 5 4 1 1

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## The marks obtained by 110 students in an examination are given below Marks 30

The marks obtained by 110 students in an examination are given below Marks 30 3535 4040 4545 5050 5555 6060 65Frequency 141628231883 Find the mean marks of the students - Given:The marks obtained by 110 students in an examination.To do:We have to find the mean marks of the students.Solution:We know that,Mean \$=frac{sum{f_ix_i}}{sum{f_i}}\$    Therefore,  Mean \$=frac{4930}{110}\$\$=frac{493}{11}\$\$=44.81\$The mean marks of the students 44.81 marks.

The marks obtained by 110 students in an examination are given below:Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65Frequency: 14 16 28 23 18 8 3

Find the mean marks of the students.

Given:

The marks obtained by 110 students in an examination.

To do:

We have to find the mean marks of the students.

Solution:

We know that, Mean = ∑ f i x i ∑ f i =∑fixi∑fi Therefore, Mean = 4930 110 =4930110 = 493 11 =49311 =44.81 =44.81

The mean marks of the students 44.81 marks.

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